Proud to put out and leave course (4,3)
I believe the answer is:
drop out
'leave course' is the definition.
'drop out' can be an answer for 'leave' (dropping out is a kind of leaving). I am unsure of the 'course' bit.
'proud to put out' is the wordplay.
'put out' indicates anagramming the letters.
'proud'+'to'='proudto'
'proudto' is an anagram of 'DROP-OUT'.
'and' is the link.
Can you help me to learn more?
(Other definitions for drop out that I've seen before include "Withdraw from activity" , "Kick" , "Restart game" , "twenty-two" , "rugby manoeuvre" .)