No-hoper is more relaxed with one round to go (5)
I believe the answer is:
loser
'no-hoper' is the definition.
(I've seen this before)
'with one round to go' is the wordplay.
'with one' becomes 'los' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'round' says the letters should be written backwards.
'to go' becomes 're' (I've seen this in other clues).
're' backwards is 'er'.
'los'+'er'='LOSER'
'is more relaxed' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
(Other definitions for loser that I've seen before include "Roles for a non-winner" , "One vanquished" , "Generally inept" , "Ineffectual person who regularly fails" , "Defeated competitor" .)