Even parts offer the fair (4)
I believe the answer is:
fete
'fair' is the definition.
(I've seen this before)
'even parts offer the' is the wordplay.
'even parts' indicates alternate letters.
'offer'+'the'='offerthe'
The alternate letters of 'offerthe' are 'FETE'.
(Other definitions for fete that I've seen before include "A festival of feet" , "Lavishly entertain; charity function" , "Outdoor bazaar for charity" , "Wine and dine" , "Outdoor fundraiser" .)