Meet and study border (8)
I believe the answer is:
converge
'meet' is the definition.
(I know that meet can be written as converge)
'study border' is the wordplay.
'study' becomes 'con' (con can informally mean to study).
'border' becomes 'verge' (verge is a kind of border).
'con'+'verge'='CONVERGE'
'and' acts as a link.
(Other definitions for converge that I've seen before include "Tend to meet at a point" , "Tend towards a common point" , "Move toward the same point" , "Move or draw together into one place" , "Move towards meeting" .)