Run off after local dance or that's the impression the Arabian made (9)
I believe the answer is:
hoofprint
'that's the impression the arabian made' is the definition.
I can't tell whether this defines the answer.
'run off after local dance' is the wordplay.
'run off' becomes 'print' (I've seen this before).
'after' says to put letters next to each other.
'local dance' becomes 'hoof' (hoof can mean to dance. I am not sure about the 'local' bit.).
'print' after 'hoof' is 'HOOFPRINT'.
'or' acts as a link.
Can you help me to learn more?
(Another definition for hoofprint that I've seen is " Mark left by rhino perhaps".)