Wife has pie fragments to brush off (4)
I believe the answer is:
wipe
'brush off' is the definition.
'wipe' can be an answer for 'brush' (thesaurus). I am not sure about the 'off' bit.
'wife has pie fragments' is the wordplay.
'wife' becomes 'w' (abbreviation).
'has' means one lot of letters go next to another.
'fragments' indicates anagramming the letters (the fragments are put back together differently).
'pie' anagrammed gives 'ipe'.
'w'+'ipe'='WIPE'
'to' is the link.
Can you help me to learn more?
(Other definitions for wipe that I've seen before include "mop" , "Remove with cloth" , "Clean (a surface)" , "use cloth" , "Clean with e.g. cloth" .)