roving
adjective /ˈrəʊvɪŋ/
  /ˈrəʊvɪŋ/
[usually before noun]Idioms - travelling from one place to another and not staying anywhere permanently- a roving reporter for ABC news
- Patrick's roving lifestyle takes him between London and Los Angeles.
 Oxford Collocations DictionaryRoving is used with these nouns:- ambassador
- commission
- reporter
- …
 
Idioms 
have a roving eye 
- (old-fashioned) to always be looking for the chance to have a new sexual relationship