Starts to sneak your way into my compassion (8)
I believe the answer is:
sympathy
'compassion' is the definition.
(I've seen this before)
'starts to sneak your way into my' is the wordplay.
'starts to' suggests taking the first letters.
'way' becomes 'path' (synonyms).
'into' means one lot of letters goes inside another.
The initial letters of 'sneak your' is 'sy'.
'path' going within 'my' is 'mpathy'.
'sy'+'mpathy'='SYMPATHY'
(Other definitions for sympathy that I've seen before include "Feeling of pity and understanding towards another's difficulty" , "Pity; common feeling" , "Commiseration" , "comfort" , "Fellow-feeling in time of grief" .)