The phrase "more finelooking" can be described in a number of different ways using synonyms. Some examples include words like elegant, stylish, refined, sophisticated, graceful, statuesque, grand, exquisite, and beautiful. These words suggest a level of class and elegance that goes beyond simply being attractive or handsome. Other synonyms for "more finelooking" might include terms like dashing, charming, attractive, or handsome, which all convey a sense of aesthetic appeal and personal charm. Ultimately, the choice of synonym will depend on the specific context in which the phrase is being used, as well as the tone and overall impact that the speaker or writer is going for.