what do you call a person who always thinks they are being used?
Solution 1:
I think the best way to refer to them (politely) is guarded. (Cautious, reserved, suspicious - from various dictionaries.)
Solution 2:
The second definition of cynical describes this attitude:
2 : having or showing the attitude or temper of a cynic: as
a : contemptuously distrustful of human nature and motives <those cynical men who say that democracy cannot be honest and efficient — F. D. Roosevelt>
b : based on or reflecting a belief that human conduct is motivated primarily by self-interest <a cynical ploy to win votes>
(Source: Merriam-Webster)
So, you could say, "He is a cynic," or "He is cynical."