An easy enough Quiptic. Thanks to Moley. Definitions are underlined in the clues.
Across
1 Waste material is in decline (6)
REFUSE : Double defn: 2nd: … , an invitation, say.
4 Disturbed, the Queen interrupts funny remarks (8)
CRACKERS : ER(abbrev. for “Elizabeth Regina”, Queen Elizabeth) contained in(interrupts) CRACKS(funny remarks;quips).
Defn: …, mentally.
9 File a loan originally for footwear (6)
SANDAL : SAND(to file with sandpaper or the like) + A + the 1st letter of(… originally) “loan“.
10 I am active still (8)
IMMOBILE : I’M(contraction of “I am”) + MOBILE(active;energetic).
11 Eastman mindful, perhaps, of taking the Bible literally (14)
FUNDAMENTALISM : Anagram of(…, perhaps) EASTMAN MINDFUL.
13 One-time oriental quarter of capital city (4,6)
EAST BERLIN : Cryptic defn: Reference to the current German capital, Berlin, which at one time was divided into West and East Berlin, “east” being one (the oriental one) of the 4 quarters of the compass
14 Celebrity in hideous tartan suit (4)
STAR : Hidden in(in … suit) “hideous tartan“.
16 Real problem: how should one address a peer? (4)
EARL : Anagram of(… problem) REAL.
18 Restrain ten bearing impediment (10)
INHIBITION : INHIBIT(to restrain;to deter from doing something) + IO(letters looking like 10;ten) + N(abbrev. for “north”;a compass bearing).
21 Tom put bracelet around an iPad (6,8)
TABLET COMPUTER : Anagram of(… around)TOM PUT BRACELET.
23 Polish railway leads to plant (8)
REFINERY : REFINE(to polish;to improve) + RY(abbrev. for “railway”).
Defn: An industrial plant where natural substances are made pure.
24 One is disturbing the peace, as trio plays with soap from America (6)
RIOTER : Anagram of(… plays) TRIO plus(with) ER(American TV soap-opera series, centred round the emergency room of a hospital).
25 No record made without enthusiasm (8)
LISTLESS : LIST-LESS(without a list;no record made).
26 Foolish contestant ignoring cost for occupier (6)
TENANT : Anagram of(Foolish) “contestant” minus(ignoring) “cost“.
Down
1 Impetuous artist, be quiet! (4)
RASH : RA(post-nominal letters for a Member of the Royal Academy of the Arts, an artist) + SH!(an interjection to be quiet).
2 Delightful escapes from exercise (3,4)
FUN RUNS : FUN(delightful;entertaining) + RUNS(escapes from).
Defn: …, in the form of friendly running races where participants take part for enjoyment rather than competition.
3 Supports, but remains uninvolved (6,2)
STANDS BY : Double defn: 1st: Comes to the defence of; and 2nd: … as a bystander does.
5 Art movement’s sentimental: is Frenchman attached to it? (11)
ROMANTICISM : ROMANTIC(sentimental) + IS + M(abbrev. for “Monsieur”, a form of polite address for a Frenchman).
6 Church exam is performed by a choir (6)
CHORAL : CH(abbrev. for “church”, a place of worship) + ORAL(a form of exam).
7 Titles I changed, being exclusive (7)
ELITIST : Anagram of(… changed) TITLES I.
8 Special group with metal device for removing wrinkles (5,4)
STEAM IRON : S(abbrev. for “special”) + TEAM(a group working together) plus(with) IRON(a metallic chemical element).
Defn: … on clothing or fabrics.
12 Amphibious American soldiers remain roughly an organised body (6,5)
MARINE CORPS : Anagram of(… roughly) REMAIN + CORPS(an organised body of people engaged in a particular activity).
13 Choose spoken kind of roll (9)
ELECTORAL : ELECT(to choose for public office or some other position by vote) + ORAL(spoken).
Defn: …, viz. a list of eligible voters.
15 Drunken nudities leading to split (8)
DISUNITE : Anagram of(Drunken) NUDITIES.
17 Brushes off and polishes again (7)
REBUFFS : RE-(prefix indicating a repetition of an action;again) BUFFS(polishes).
Defn: …;snubs, an offer of help, say.
19 A deceit, maybe, to get a cold drink (4,3)
ICED TEA : Anagram of(…, maybe) A DECEIT.
20 Sound army officer at the centre of things (6)
KERNEL : Homophone of(Sound) “colonel”(army officer).
22 Determination shown by leaders of Greeks rebelling in Turkey (4)
GRIT : The 1st letters, respectively, of(leaders of) “Greeks rebelling in Turkey“.
My last one in was INHIBITION.
Thanks Moley and scchua
Thanks both. Just the right level for a Quiptic
Thanks Moley and scchua
Sorry to disagree, but I thought that this was much too hard for a Quiptic, with INHIBITION, ELECTORAL and TENANT being tricky for a cryptic.
I didn’t understand EAST BERLIN or RIOTER, having never heard of “ER” (another obscure reference).
One wouldn’t address a peer as EARL – a “peer of the realm”, perhaps, would be an earl.
14a the containment is indicated by “in”, so the clue would be neater without the superfluous “suit”.
Thank you Moley and scchua.
I enjoyed this puzzle, but agree with muffin @3 that some of the clues were rather hard to solve for a Quiptic – incidentally, we had ER last week, new to me then, but I did remember having heard of Emergency Room after googling (I don’t watch television, too busy in the evenings, I prefer to listen to music).