Kept at it - ever right with speed wrong (10)
I believe the answer is:
persevered
'kept at it' is the definition.
I can't judge whether this defines the answer.
'ever right with speed wrong' is the wordplay.
'right' becomes 'r' (common abbreviation).
'with' says to put letters next to each other.
'wrong' indicates anagramming the letters.
'ever'+'r'+'speed'='everrspeed'
'everrspeed' is an anagram of 'PERSEVERED'.
Can you help me to learn more?
(Other definitions for persevered that I've seen before include "Was not deterred" , "Kept going" , "didn't give up" .)