Kindling is one option and was almost how my coffee table ended up last winter in Georgia. I slid it back with my knee and it folded up like a cheap suit. I tossed it onto the cold bonfire for the next night but the next morning I remembered that I had a bottle of Gorilla Glue. I looked at the way the table was assembled and discovered that they used screws just long enough to go through the pocket holes and 1/4 inch into END GRAIN. I went to Lowes but the had no pocket screws so I just bought much longer wood screws and used tiny washers on the screws so they worked just like the pocket screws and went a full inch into the end grain plus a good coat of Gorilla Glue and the only way that table is coming apart now is in the fire
So if your table is wiggly try better screws and a liberal coating of the Gorilla... Dave