Daisy: elderly relative endlessly swigging beer, embarrassingly (7)
I believe the answer is:
gerbera
'daisy' is the definition.
(type of daisy)
'elderly relative endlessly swigging beer embarrassingly' is the wordplay.
'elderly relative' becomes 'gran' (I've seen this before).
'endlessly' means to remove the last letter.
'swigging' is an insertion indicator.
'embarrassingly' indicates anagramming the letters.
'gran' with its final letter taken away is 'gra'.
'beer' anagrammed gives 'erbe'.
'gra' going around 'erbe' is 'GERBERA'.
(Other definitions for gerbera that I've seen before include "Bright daisy-like plant" , "Plant with brightly coloured flowers" , "It's a bloomer" , "S. Afr. composite plant (seen in florists)" , "something in the garden" .)