I like these alot:
http://www2.fiskars.com/Shop-Products/Tree-Pruners-and-Saws/POWER-TOOTH-Softgrip-Saw-13They come with a plastic tooth cover for display and so far no issues with it coming off in 3 years of use while carried strapped to the outside of the pack or inside the pack(sometiems loose, sometimes inside the rolled up stove pipe.
For more compact I like these:
Prefer this one:
http://www.gerbergear.com/Outdoor/Gear/Sportsmans-Wood-Saw_46048But this one is ok and seems to be in stock at more places.
http://www.gerbergear.com/Outdoor/Gear/Sliding-Saw_22-41773