Follow and make certain Republican is booted out (5)
I believe the answer is:
ensue
'follow' is the definition.
(ensue can mean to follow or happen as a result)
'make certain republican is booted out' is the wordplay.
'make certain' becomes 'ensure' (synonyms).
'republican' becomes 'R' (abbreviation in US politics).
'is booted out' suggests deleting specific letters.
'ensure' with 'r' taken away is 'ENSUE'.
'and' acts as a link.
(Other definitions for ensue that I've seen before include "Result in a particular way" , "Happen - to come later" , "Arise" , "Occur as a result (of)" , "Happen or come about as consequence" .)