(adjective) dear treasured / (adjective) ; discreetly cautious; as / (adjective) hesitant and vigilant about dangers and risks / (adjective) slow to grant, accept, or expend
The two major companies, U.S. based Standard oil and British-based Mexican Eagle, were chary about the nationalist noises from Mexico City.
i always think "chary" just means "wary" and i guess it's not too far off