Len's had false names (7)
I believe the answer is:
handles
'names' is the definition.
(handle can mean a name or nickname)
'len's had false' is the wordplay.
'false' is an anagram indicator.
'lens'+'had'='lenshad'
'lenshad' anagrammed gives 'HANDLES'.
(Other definitions for handles that I've seen before include "Copes with" , "Feels" , "Parts to be grasped" , "Grips for lifting" , "Manages" .)