Both are okay to do during a cleanse. They will help the process. Please do give yourself some down time after either, as the effects of the acupuncture or deep tissue massage are likely to be stronger due to the cleansing process. Energetically your body is in more flux with the cleansing, and so the bodywork sessions will be able to get more done than usual.
My clients adhere to their typical bodywork schedules during cleanses.