One asked and accepted quickly there at the end (7)
I believe the answer is:
invitee
'one asked' is the definition.
I can't tell whether this definition defines the answer.
'accepted quickly there at the end' is the wordplay.
'accepted' becomes 'in' (I've seen this in other clues).
'quickly' becomes 'vite' (I can't justify this - if you can you should give a lot more credence to this answer).
'at the end' indicates one should take the final letters.
The last letter of 'there' is 'e'.
'in'+'vite'+'e'='INVITEE'
'and' is the link.
Can you help me to learn more?
(Other definitions for invitee that I've seen before include "One asked to attend" , "special guest" , "visitor?" .)