It may have a few temp swings that will reduce to a few degrees once the smoker seasons after a few smokes. Get a remote probe and check the accuracy of both (212* in boiling water and 32* in ice water). You should probably be OK.
Also, during the start of smokes the thermostat will stay on right at the beginning in order to make sure the wood smokes. It should start to settle at the set temperature after 20-30 minutes.