The partner 1 is a linear rail machine, it does not have gibs.
0.01" should be easy to find, it almost sounds like you have bad thrust bearings or the thrust nut is loose.
Do a simple push/pull test on the X and Y axis with a test indicator to determine which axis has the slop. Check the bearings in that axis.
If the machine was never greased the linear rails could be worn or missing bearings. Start with checking the table flatness, typically the table will drop one side if a bearing block is damaged.