Run around somewhat, having small puncture (4,4)
I believe the answer is:
flea bite
'small puncture' is the definition.
(a flea bite is a small bite)
'run around somewhat' is the wordplay.
'run' becomes 'flee' (I've seen this before).
'around' is an insertion indicator.
'somewhat' becomes 'a bit' (a bit).
'flee' going around 'abit' is 'FLEA-BITE'.
'having' is the link.
(Other definitions for flea bite that I've seen before include "irritation" , "Very minor inconvenience" , "run around a little" .)