She will not stop until you establish the rules with her and use a punishment that will mean something to her when she breaks those rules. She's more than old enough to understand that some things are a no no. I have two girls ages 6 and 4. I watch a boy who is 5 and his little sister that is about 2 1/2 (I've been watching them for two years now). I have a son who is nine months old next week.
All of them have understood rules from the time they could walk or earlier. Even my nine month old son understands when I say no no and will stop doing what he's doing to look at me...he knows that I'm trying to get his attention. If they look at you when you say no no, they are starting to understand. If they look around to see if you are watching, then they know they are going to do something you told them not to. Your child is more than capable of understanding rules and punishment.
So you have to establish that pushing the chairs around is no longer permitted and that climbing on them to get into stuff is definitely a no no. Tell her she is not allowed to get into anything unless she asks you first. My 4 and 6 year old won't get snacks or even open the fridge unless they ask first. The 2 year old I watch knows she has to leave her sippy cup on the table and not carry it around the house.
It is a matter of telling them it is not allowed and then punishing them whenever they break the rule. Be consistent, be calm, be fair, and be firm. It will probably take a week or two, but she will get it if you insist and you punish her every time she breaks the rule.
At her age I would make her sit in time out until she starts to tear up. That way you know she didn't like the punishment and she doesn't want to sit in time out again. That one minute for every year of age thing is a joke. I don't know a single child that cares about a two minute time-out. (And I've never heard of anything bad happening to a child that you made sit in time-out for extended periods...just keep reminding them why they are in time-out) If I didn't make mine sit until they started to cry, then they didn't care. If they don't care about the punishment, then it is ineffective.
For me, after a few time-outs and they still didn't get it...I explained that from then on out when they broke the rule, they would get a spanking.
I always make mine look me in the eyes when I'm explaining the rules. They then have to repeat what I said until I feel they fully understood what I was telling them and then I make them tell me what the punishment will be if they break the rule again. Always calmly make her look you in the eyes when you want to tell her something and then make her repeat what you said in simple words.
And I know I'm coming across as a really mean, strict mommy. I'm not mean but I am strict and I am the parent. I expect my children to listen to me, period. My 6 year old cried this morning because she didn't want to go to school. She wanted to stay home with me because she missed me and she has more fun at home. So please don't think I'm mean. I'm just very serious about being the parent and expecting my kids to behave.
I wish you luck. Your little one is a whole bunch of fun at that age, but also a whole bunch of work.