If you say that a man has a roving eye, you are criticizing him for continually paying attention to different women.
英英词典释义
Noun
1. travelling about without any clear destination;
"she followed him in his wanderings and looked after him"
Adjective
1. (of groups of people) tending to travel and change settlements frequently;
"a restless mobile society""the nomadic habits of the Bedouins""believed the profession of a peregrine typist would have a happy future""wandering tribes"