Great Responses, I will have to look into the caritools..
Some notes:
The gate on the short connection biner on mine usually ends up facing inwards on my saddle. The hinge is always on the down side which in my opinion would make it rather difficult for rigging to get caught in it, the rope would have to travel up towards me and into the biners gate.
As far as those that leave it hanging long, I do not do that so much because the saw bangs around alot. If I am just pausing for a second i hang the saw running off the ring on my cougar with the non-locker, otherwise shut it off. My saw hangs low enough off this ring that i feel comfortable leaving it running for short periods of time if just giving the groundies time to clean. There are a few marks on the back of my saddle on the padding where the muffler has touched and melted it a bit but it doesn't seem alarming; the structural components are wide and high, far above where the saw hangs.
To the complaints about those little flat hooks, with the rings, found on lots of saddles. Those are primarily why I added a standard biner, the ease of clipping makes a huge difference to me as the day goes on, I really prefer it!
I would like to add that the part of the lanyard under the non-locker where i folded the webbing over and taped it; thats a huge help. The rigidity really helps and is a comfort when trying to unclip/clip it while cross armed, behind your back, or otherwise inconvenienced. Also If i do leave it hanging long the lanyard hangs totally straight from me to the saw with this section sticking out at a right angle, before I did that the carabiner would lay flat with the lanyard and was difficult to clip or grab. Now at all times the biner is facing the right way and is easily accessible.
Thanks for the feedback everyone!