Solving time: 23 mins
* (anagram)
ACROSS
1 RAP TOR
4 BAD BLOOD Pleasing double definition
10 DEC (December is last month) ALITRE (retail)*
13 COELENTERATES (ocean resettle)*
16 POSTMODERNISM (Immodest porn’s)*
23 SUB(editor) STANCE
25 IN (DIAM A) N A maid reversed – Ship trading with India
26 TECHIE (the ice)* Maybe used as only some are in white coats.
DOWN
1 REP(L)AY
2 PROSPECT(u)S U = university
5 ANCIENT GREECE, I think “With old people there’s report of badly neglected hygiene problem in kitchen” “Grease” (Report of … hygiene problem) Bit perplexed by this one – the definition seems to be “With old people”, maybe it means Ancient Greece was (a place) with old people. Ancient then seems to be used as a synonym for badly neglected in the cryptic part.
7 OF TEN(ors)
8 DEE P Loch NESS
14 TOM OGRAP H (a GP or)* X-ray showing a cross section through e.g. a human body
17 MA HAT MA Derby, say, i.e. an example of a hat
19 ANN EXE Remember your rivers Exe here and Dee in 8 down