Clue: Fringe cut straight, precisely (4)
Answer: BANG
Explanation: Definition: Fringe cut straight
Not sure about this: I it could be a truncated BANG[S] (a fringe), with two rather similar definitions, the second as in "bang on"; or is it singular BANG as a "fringe cut straight"? Chambers gives "a fringe, hair cut straight across the brow (often in pl[ural])", so I suppose this is more likely