My 16 mo old just started doing this too. I gated off the ktichen but he still has access to the dining room so he climbs on the table. We have a newbie at home and he loves to do it while I'm nursing. I'm scared he'll fall off the chairs or the table...i'll be following this thread for advice.
Amanda- wife to DH. Mama to W (2010), L (2011), H (2013) & expecting #4 Jan 2016