We do allow all sorts of climbing around here, and have non-expensive furniture so that we don't have to worry about it. the kids jump and climb all over everything, and my son's new favorite game is to scramble from the kitchen counter to the dining area table to the back of one couch to the coffee table to the other couch -- I don't really mind if there is nothing on the counter or tables, but when there is paper or drinks or whatever, I am worried that he'll slip and fall. Luckily, there is usually something or other on the counters and tables, so he doesn't get many opportunities for his indoor parkour!!
I had to laugh when someone mentioned climbing on top of the fridge, because my son JUST figured that one out!
we did request that he not do that one, though... we rent, and I don't want to have to replace a refrigerator!
I will say, though, that he does have a hard time remembering not to walk on other people's couches, once he gets comfy at their houses. the grandparents are not that impressed
, but he's almost 7 now and gets it. throughout 4,5 and 6, though, he would just walk on their couches like they were the floor.
I think, though, that if we went there more often, he'd get the rule quicker -- as it stands, we only go there once or twice a year, so as soon as he gets cozy (and excited to be there) he just automatically starts walking on the furniture...
He also tends to sit upside down on the couch and other various things that drive some people crazy, but I always try to assess the actual potential for damage and go from there -- I'm not really down with rules just for rules sake, and my kids don't seem to be either. If there is any chance of them damaging something, though (and not just perceived potential damage because whatever they're doing is unorthodox) I let them know, and they'll listen...or if they can't stop themselves, it's a clear sign that we need to head outside!!
For sure, though, that's one of those things that is different for every family! I'm not nearly as worried about injuries as most people I know...