The Times 27372 & The Week 1296

[TioMateo]

(The Times) Energetic type secures wide funding for Remainer (5) D?W?R. It's obviously DO(W)ER which is another word for DOWRY - and therefore "funding", bu how does Remainer fit in?
(The Week) 1) Nice beach recalled during exercises (5) P?A?E. It must be P(LAG)E (a beach in France), but how does LAG equate with "recalled"? 2) CotW :- For instance, they include ant since also an insect (8) A???????. (Originally from The Guardian, Brendan).

[dannyk13]

Dower is the remains of a husband's estate.
Plage has been discussed previously and one suggestion was that the setter had erred and it would make sense if the clue read:- Nice beach girl recalled giving gal reversed.

[JJ109]

CotW = Anagrams
ant since = anagram of an insect

[nemanlost]

Not quite complete, jj109 - “ant since” and “an insect” are both anagrams of “instance”.