Bury a tale-teller lacking finish among other things (5,4)
I believe the answer is:
inter alia
'among other things' is the definition.
(synonyms)
'bury a tale-teller lacking finish' is the wordplay.
'bury' becomes 'inter' (to inter is to put into the ground).
'tale-teller' becomes 'liar' (I've seen this in another clue).
'lacking finish' means to remove the last letter.
'liar' with its final letter taken away is 'lia'.
'inter'+'a'+'lia'='INTER ALIA'
(Other definitions for inter alia that I've seen before include "among others" , "Among other things, in Latin" , "amongst others" , "Midst other things" , "amongst other things" .)