You can think of rove as feet that never settle. Something is moving over a wide stretch — a country, a , a city after dark — and it keeps changing where it is, with no set route and no place it has to reach. What matters is the moving, not the arriving. English then lends those restless feet to other things: to a reporter who is never at a desk, and to a pair of eyes that will not rest on one spot.
From the word’s history
Wiktionary traces rove to Northern Middle English raven, 'to wander', from Old Norse ráfa, 'to rove, stray about'. The oldest recorded meaning is already the wandering one, so the modern uses sit directly on it rather than at the end of a long chain.
Wiktionary 把 rove 追到古北歐語 ráfa（遊蕩、四處亂走），中間經過中古英語北部的 raven（漫遊）。最早記下來的意思本來就是「到處走」，所以今天的用法等於直接站在原意上面，中間沒有繞很遠的路。
Wiktionary, entry for rove (verb, etymology 1); packet source_ref kaikki:3f6f69a190036ae4:782538134
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