Connected with Lawrence after endless brandy (7)
I believe the answer is:
cognate
'connected with' is the definition.
(I've seen this before)
'lawrence after endless brandy' is the wordplay.
'lawrence' becomes 'te' (TE Lawrence, Lawrence of Arabia).
'after' says to put letters next to each other.
'endless' means to remove the last letter.
'brandy' becomes 'cognac' (Cognac is an example).
'cognac' with its final letter removed is 'cogna'.
'te' put after 'cogna' is 'COGNATE'.
(Other definitions for cognate that I've seen before include "with similar origins" , "Related, having same source" , "Affiliated" , "Of the same family" , "from the same root" .)