Please, don't cut them off. If you really don't like the overgirth then take them to a saddle maker and have the straps removed.
You can also buy any girth and have a saddle maker put an overgirth onto it, or just have the saddle maker make an appropriate size/length strip of leather with buckles on either end that is separate from the girth.
I have seen mostly older model Stubbens with this kind of overgirth although I am fairly sure I have seen a courbette with one too. Personally, I am a fan of overgirths, I actually would like to get one put on my saddle :P Even though it has thick flaps, I can still get them "curled" up as Allison mentioned.
ETA: a lot of higher end saddles these days have a mechanism like an over girth, which is why we don't see them a lot. They will have a strip of leather on the top flap meant for a girth billet to go through and hold down the top flap. I call it a "billet loop", but pictures are eluding me right now.
Anyways, the billet holds down the top flap when it's through this loop, acting like an overgirth.
Last edited by ~*~anebel~*~; 02-25-2010 at 10:48 AM.