Perhaps Trump briefly drinks and exercises (5-3)
I believe the answer is:
press-ups
'exercises' is the definition.
(press-up is a kind of exercise)
'perhaps trump briefly drinks' is the wordplay.
'perhaps trump briefly' becomes 'pres' (short for president; 'briefly' asks for a short form).
'drinks' becomes 'sups' (I've seen this before).
'pres'+'sups'='PRESS-UPS'
'and' is the link.
(Other definitions for press-ups that I've seen before include "Exercises performed face down" , "Exercises done facing the floor" .)