Right to have Hearts crossing Atlantic for match (10)
I believe the answer is:
correspond
'match' is the definition.
(I know this)
'right to have hearts crossing atlantic' is the wordplay.
'right' becomes 'r' (common abbreviation).
'to have hearts' becomes 'cores' (I can't justify this - if you can you should believe this answer much more).
'crossing' is an insertion indicator.
'atlantic' becomes 'pond' (as in 'across the pond').
'r' placed inside 'cores' is 'corres'.
'corres'+'pond'='CORRESPOND'
'for' is the link.
(Other definitions for correspond that I've seen before include "Swap letters" , "Keep in touch by letter" , "Communicate; agree" , "email, say?" , "Exchange letters" .)