No Peeling After Beta Hydroxy Chemical Peel

The Beta-Lift chemical peel is a salicylic acid peel and it comes it 2 strengths: 2/0 and 3/0. These peels are classified as superficial peels and will not result in a lot of peeling. If your intention is to control acne, these peels should work well.
Even if you do not get any peeling, the solution enters the pores and is very anti-inflammatory. Studies show that the "anti-acne" effect last about a month, so in the beginning, repeated treatments are necessary.
Having some peeling is nice, however, as the skin becomes "rejuvenated" - softer, brighter. Typically, I start my patients with 2/0 and they get a light peel starting on day 3. Depending on their skin type and reaction to the 2/0, I typically increase to 3/0 on the next visit.
After several treatments with 3/0, there may be a decrease in the amount of peeling. There are methods to regulate the amount of peeling, for example, by the number of passes and the application technique.
Committing to a series (of about 5) will give the best results, and then one can space them out every 3 months or so for maintenance.

Beta peels and other lunchtime peels may not cause a lot of visible peeling but will still help. The proof will be how your skin looks in 7-10 days.
Your doctor can make adjustments in the second of your series (most people get 3-6 over 4-6 months). How the skin is prepped and the amount of acid applied are just two of the many ways to vary the aggressiveness of light peels.