Be inclined to accept start of recent craze (5)
I believe the answer is:
trend
'craze' is the definition.
(thesaurus)
'be inclined to accept start of recent' is the wordplay.
'be inclined' becomes 'tend' (synonyms).
'to accept' indicates putting letters inside.
'start of' indicates taking the first letters.
The first letter of 'recent' is 'r'.
'tend' going around 'r' is 'TREND'.
(Other definitions for trend that I've seen before include "be all over Twitter, Instagram, etc" , "Style, vogue" , "The way things are going?" , "General tendency" , "Current fashion" .)