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I don't know if the Mail's got some new setters but I'm suddenly finding it much harder.
Couldn't parse this (answer is I assume from crossing letters Polyunsaturated):
1d After jogging, say, a lot turned up sort of fat (15)

Can "D" be used to indicate Dutch? I ask because of 29a:
DD's rubbish (6,5). Double Dutch?

Similarly, I guess that T can stand for Thailand:
A Thailand girl obtains eastern books for explorers (7). Atlases?

I can see the anagram

1d is an anagram of "say a lot turned up"

T is the International Vehicle Registration code for Thailand.

D is an obscure abbreviation for Dutch which is given by Chambers. I believe that it would indicate the Dutch language in etymological dictionaries, although I have never seen it used and both OED and Chambers themselves use 'Du' for Dutch.