1) Arch 2) Cagy 3) Canny 4) Cautious 5) Chary 6) Distrustful 7) Elusive 8) Enigmatic 9) Shrewd 10) Sly 1) Cagy 2) Canny 3) Cautious 4) Clever 5) Cunning 6) Displaying shrewdness 7) Evasive 8) Hesitant to commit 9) Not forthcoming 10) Not forthright 11) Shrewd 12) Sly, slang 13) Smart 14) Tight-lipped 15) Warily shy 16) Wary 
Cagey is British slang for cautious.
[adj] - showing self-interest and shrewdness in dealing with others 2. [adj] - characterized by great cautious and wariness
cagy adjective showing self-interest and shrewdness in dealing with others; `a cagey lawyer`; `too clever to be sound`