Say I test solved Enigmatic Variations, primarily after recalling hint (7)
I believe the answer is:
vestige
'hint' is the definition.
(thesaurus)
'say i test solved enigmatic variations primarily after recalling' is the wordplay.
'say' becomes 'eg' (both can mean for example).
'primarily' suggests taking the first letters.
'after recalling' shows that the letters should be reversed in order.
The initial letters of 'test solved enigmatic variations' is 'tsev'.
'eg'+'i'+'tsev'='egitsev'
'egitsev' written backwards gives 'VESTIGE'.
(Other definitions for vestige that I've seen before include "Trace or shadow of something that once existed" , "Residual trace" , "Trace, remnant" , "Small trace" , "Lingering trace" .)