Noun
(idiomatic) Wide-ranging observation of one's surroundings.
(idiomatic) The personal characteristic of taking amorous interest in people other than one's own spouse or regular romantic partner.
Source: en.wiktionary.orgThey successfully combined piracy and puritanism, which aren't so unlike when you come right down to it. Both had a strong dislike for opposition and both had a roving eye for other people's property. John Steinbeck
The negligence of Nature wide and wild, Where, undisguised by mimic art, she spreads Unbounded beauty to the roving eye. James Thomson (poet)