Ask intently - after training - for a low-fat drink (6,5)
I believe the answer is:
skinny latte
'drink' is the definition.
(I've seen this before)
'ask intently after training' is the wordplay.
'after training' is an anagram indicator (train can mean to shape or control).
'ask'+'intently'='askintently'
'askintently' anagrammed gives 'SKINNY LATTE'.
'for a low-fat' acts as a link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for skinny latte that I've seen before include "Milky preparation" , "Low-calorie white coffee - sent any kilt (anag)" , "Healthier drink" .)