Student consuming last of lager and more stout (8)
I believe the answer is:
sturdier
'more stout' is the definition.
('sturdy' can be a synonym of 'stout')
'student consuming last of lager' is the wordplay.
'student' becomes 'studier' (someone who studies).
'consuming' indicates putting letters inside.
'last of' indicates one should take the final letters.
The last letter of 'lager' is 'r'.
'studier' placed around 'r' is 'STURDIER'.
'and' is the link.
(Other definitions for sturdier that I've seen before include "Stronger, more able to withstand damage" , "Stronger, more solidly built" .)