Right of entry after a final bit of cold calling (9)
I believe the answer is:
admission
'right' is the definition.
(I know that admission is a type of right)
'entry after a final bit of cold calling' is the wordplay.
'entry' suggests taking the first letters (I've seen 'entry of' mean this).
'a final bit of' says to take the final letters.
'calling' becomes 'mission' (calling can mean a mission or vocation in life).
The initial letter of 'after' is 'a'.
The last letter of 'cold' is 'd'.
'a'+'d'+'mission'='ADMISSION'
'of' is the link.
(Other definitions for admission that I've seen before include "Letting in - letting out" , "cost of entry?" , "Statement acknowledging the truth of something" , "A confessing" , "Acknowledgment of crime" .)