Fellow coming out in spots, beginning to suspect rash (8)
I believe the answer is:
reckless
'suspect rash' is the definition.
'reckless' can be an answer for 'rash' (rash can mean impulsive or thoughtless). I'm not certain of the 'suspect' bit.
'fellow coming out in spots beginning' is the wordplay.
'fellow' becomes 'f' (abbreviation - of a society etc.).
'coming out in' indicates named letters should be taken away.
'spots' becomes 'freckles' (freckling is a kind of spotting).
'beginning' becomes 's' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'freckles' with 'f' removed is 'reckles'.
'reckles'+'s'='RECKLESS'
'to' is the link.
(Other definitions for reckless that I've seen before include "Utterly unconcerned for the consequences" , "not responsible" , "Wildly incautious" , "Careless of danger, foolishly brave" , "Imprudent, rash" .)