Green’s Dictionary of Slang

1. unpleasantly sticky.

1966		J. Susann Valley of the Dolls 262: Her hair was sticking out at all angles and gooky.
1972		M. Rodgers Freaky Friday 97: My hands were all gooky.
1983		Nelkin & Brown Workers 29: I once spent two days cleaning out brushes...[that were] all hard and gooky [HDAS].

2. in fig. use, awkward.

1961

F. Kohner Gidget Goes Hawaiian 90: That was one of those gooky misunderstandings.