Just for curiosity. I don't find enough information about this, even in documentation. I don't see any difference when I use it.
2 Answers
It controls whether to keep intersecting edges perpendicular to the bevel direction.
Loopslide On: gives smoother topology and better results for tight geometry
Loopslide Off: keeps perpendicular edges and even bevel width
When Clamp Overlap isn't enough, Loopslide On can keep the topology in check:
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$\begingroup$ Apart that he asked for the Bevel Tool instead of the Bevel Modifier, I would suspect it doesn't matter for the function. Only that I was wondering myself what this is for... because I can't see a difference either, at least not with the usual bevels I have to create. The functionality you explain in the answer is the Clamp Overlap option... $\endgroup$ Apr 23, 2021 at 13:52
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$\begingroup$ Oh, I see... didn't look carefully enough on that screenshot... okay it gives smoother bevel results. But it doesn't keep faces from overlapping. $\endgroup$ Apr 23, 2021 at 14:03
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$\begingroup$ Hey, thanks for the comments :). With Clamp off, LoopSlide still helps to keep the topology better, and overlapping faces low. We're talking corner cases - very tight geometry. I'll rephrase the wording so it's not confusing :). $\endgroup$ Apr 23, 2021 at 14:44
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$\begingroup$ I was talking about corners with tight geometry as well... with Clamp off, as soon as it starts to overlap, it overlaps, no matter if Loop Slide is enabled or not. In tight corners I cannot see any advantage and especially no avoiding of face overlap whatsoever: loop_slide.gif $\endgroup$ Apr 23, 2021 at 15:59
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$\begingroup$ Hey, feel free to post your own answer, it's quite possible I missed something :). We're all here to learn, right? :) $\endgroup$ Apr 23, 2021 at 16:09
I am the bevel tool and modifier author. Loop slide does the same in both. It only has an effect if there are unbeveled edges between two beveled edges at a vertex, and furthermore, at least one of those unbeveled edges is in a different plane than the one containing the two beveled edges.
In a circumstance like that, there is a choice where the meeting point of the offset edges from the beveled edges go. (1) it can go at the place that best makes the bevel width match the amount specification; (2) it can go on a non-beveled edge between the two. The second may be preferred if you don't want the silhouette of the object to drastically change. That second method is what is turned on with "Loop slide".