Remember finally: offer the public the lot (6)
I believe the answer is:
recall
'remember' is the definition.
(to recall something is to remember it)
'finally offer the public the lot' is the wordplay.
'finally' suggests the final letters.
'the lot' becomes 'all' (I've seen this before).
The last letters of 'offer the public' are 'rec'.
'rec'+'all'='RECALL'
(Other definitions for recall that I've seen before include "Summon back, perhaps to mind" , "Don''t forget - come again" , "Evoke" , "Recollect" , "Request the return of a defective product" .)