Perhaps guinea pig still with time to move east in epidemic (10)

I believe the answer is:
pestilence
'epidemic' is the definition.
(I've seen this before)
'perhaps guinea pig still with time to move east' is the wordplay.
I cannot really see how this works, but
'time' could be 'est' (EST is an example) and 'est' is found in the answer.
'east' could be 'e' (abbreviation) and 'e' is found in the answer.
This may be the basis of the clue (or it may be nonsense).
'in' acts as a link.
Can you help me to learn more?
(Other definitions for pestilence that I've seen before include "it's an agent of evil" , "dire horseman?" , "Deadly epidemic disease" , "Epidemic disease with a high death rate" , "morally harmful influence" .)
