Fat geese periodically fed husband (4)
I believe the answer is:
ghee
'fat' is the definition.
(thesaurus)
'geese periodically fed husband' is the wordplay.
'periodically' indicates alternate letters (letters must be selected 'every so often').
'fed' indicates putting letters inside (one word is 'fed' to another).
'husband' becomes 'h' (abbreviation).
The alternate letters of 'geese' are 'gee'.
'gee' placed around 'h' is 'GHEE'.
(Other definitions for ghee that I've seen before include "clarified product" , "Clarified butter sauce" , "Form of clarified butter" , "type of butter" , "Indian form of butter" .)