even more acurate is to get the now time marker exactly where you want to snip.make sure the track is highlighted and press S on the keyboard(its the snip shortcut)
most unacurate cuts are due to your snap value.
set a good snap value and your snips will be perfect.
if its something like free form jazz...ummm well..youll need to just temp.disable it by pressing N/not F12 anymore.