Zest to put away doughnut or substantial puff (4)
I believe the answer is:
gust
'substantial puff' is the definition.
'gust' can be an answer for 'puff' (I have seen 'Puff of wind ' mean 'gust' so perhaps 'puff' could also mean 'gust'). I'm not sure about the 'substantial' bit.
'zest to put away doughnut' is the wordplay.
'zest' becomes 'gus' (I can't justify this - if you can you should believe this answer much more).
'put away' is a deletion indicator.
'doughnut' becomes 'o' (letter resembling a doughnut).
'to' with 'o' removed is 't'.
'gus'+'t'='GUST'
'or' is the link.
Can you help me to learn more?
(Other definitions for gust that I've seen before include "Puff (of wind)" , "Brief rush of wind" , "Squall" , "Sudden rush of wind" , "Flurry" .)