Lecherous racist misbehaving around end of century (7)
I believe the answer is:
satyric
'lecherous' is the definition.
(thesaurus)
'racist misbehaving around end of century' is the wordplay.
'misbehaving' indicates an anagram.
'around' indicates putting letters inside.
'end of' suggests the final letters.
The final letter of 'century' is 'y'.
'racist' is an anagram of 'satric'.
'satric' going around 'y' is 'SATYRIC'.
(Other definitions for satyric that I've seen before include "lecherous?" , "like a lech?" , "libidinous?" .)