Having a choice makes them cross (8)
I believe the answer is:
electors
'them cross' is the definition.
I can't judge whether this definition defines the answer.
'having a choice' is the wordplay.
I cannot really see how this works, but
'choice' could be 'elect' (I've seen this in another clue) and 'elect' is located in the answer.
The remaining letters 'ors' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...
'makes' is the link.
Can you help me to learn more?
(Other definitions for electors that I've seen before include "Voters" , "Those eligible to vote" , "They choose people for office" .)