Great neighborhood. I haven't heard anything about safety issues around Lawton Street and wonder why do you ask. Are you knew to Boston area? ...Usually, when people start looking for a town that has the city conveniences, safe neighborhood, great schools and public transportation they almost always find Brookline to be one of their top choices (if that is within their budget range, of course) and being close to Coolidge Corner has its advantage too.
If you're considering the 1 unit that is on the market there, don't hesitate to ask your agent to feed you with specific neighborhood related information (statistics, happenings, etc.) My clients, especially, if they are not too familiar with the town usually like that as it helps them sort things out efficiently enough not to miss the opportunity they like.