Cat with her own way of working for an employer (6)
I believe the answer is:
mouser
'cat' is the definition.
(cat that kills mice)
'way of working for an employer' is the wordplay.
'way of working' becomes 'mo' (abbreviation for modus operandi).
'for' means one lot of letters go next to another.
'an employer' becomes 'user' (someone who employs or uses something).
'mo'+'user'='MOUSER'
'with her own' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for mouser that I've seen before include "Predatory cat" , "Rodent-catching cat" , "Cat with certain skills" , "Cat proficient at catching small rodents" , "One getting rid of vermin" .)