Does the measured temperature in a zone with a Lisa look erratic as in the graph below?
Then the Lisa is in router mode while it is powered by batteries. You registered Lisa while she was on USB power supply and then replaced the USB power supply with batteries. As a result, Lisa now acts as a router with which other modules talk to Adam via Lisa. Lisa uses more energy as a router.
Via the app or web interface (connect.plugwise.net), go via the menu to Layout> Zone with the Lisa> Lisa
Click Delete and then Delete from network.
Re-add Lisa to the network while it is powered by batteries.