I don't feel that single liners are generally a strength concern, but I do find them unattractive. Nested partial liners and "leaf" locks (no clear line between the two) are rather nice.
Some of the nicest older Benchmade liner-locks have only a single liner (Leopard, Brend, Spike, Tsunami, Kodiak) and these are very tough knives, with aluminum scales on both sides. That said, I just got finished putting a second liner into a Model 600 Brend Talon II, and I think it looks a whole lot prettier that way.
Japanese-made Spydercos have added a single liner to the G-10 Lockback models. This was not done for overall strength, but in order to hold the screws from the clip (G-10 strips threads very easily). This is somewhat awkward-looking and adding an entire liner just to hold these three threads seems like an inelegant engineering solution. On the other hand, I was just able to compare my older, linerless G-10 Civilian to a new Civilian with a single steel liner (and new C-clip, too!). The newer knife was noticeably thicker and heavier, something I appreciated - so perhaps one liner is better than none on a lockback.
The Wegner is a real oddity, a Japanese-made Spydie liner-lock with G-10 scales and a single liner. I just acquired one of these and everything folks have said is true - it's as solid and beefy as any folder I've held. Clearly a single liner can be quite enough for a strong liner-lock, even with G-10 scales.
The Military, Starmate, and the two Centofantes use a nested partial liner. This avoids the assymmetrical appearance and produces a slimmer, lighter knife. The Military, for example, is slimmer than the comparable AFCK even though it uses 5/32" bladestock instead of 1/8", while the large Centofante is lighter than any production knife its size due to this construction. Both are extremely solid, reliable knives.
On the extreme end of lightweight leaf-style construction I was just able to examine a couple of Owen Wood's carbon fiber folders that use extremely strong, light CF for the unsupported scales, with only a small titanium leaf acting as a linerlock. Combine this with a slim, fully-ground blade and you have a knife of comparable size to a BM Leopard Cub or Spydie Jess Horn, yet which weighs so little you can hardly belive you're holding it.
In short, knives with single liners can appear awkward but, if properly built, are quite sufficiently strong. Partial liners or "leaf-locks" avoid this unsightly asymmetry and also slim and lighten the knife. If modern synthetics like G-10 or carbon fiber are used, these knives can also be as strong as any folder needs to be. I like 'em all, but would rather have the appearance of two liners or none. Of course, if everything goes to leaf-locks, where will our filework go?
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-Drew Gleason
Little Bear Knives