Happy to see a learner relaxed after a poor start (7)
I believe the answer is:
pleased
'happy' is the definition.
('pleased' can be a synonym of 'happy')
'a learner relaxed after a poor start' is the wordplay.
'a learner' becomes 'l'.
'relaxed' becomes 'eased' (I've seen this before**).
'after' is a charade indicator (letters next to each other).
'start' suggests taking the first letters.
The first letter of 'poor' is 'p'.
'l'+'eased'='leased'
'leased' put after 'p' is 'PLEASED'.
'to see' is the link.
(Other definitions for pleased that I've seen before include "Well satisfied" , "Glad" , "Grateful, delighted" , "like Punch?" , "Content" .)