I have had one for years. It was braided stems. One died, but the other seems very happy, especially indoors. Right now, it is blooming, sometimes five at a time. However, the blooms do fall off as soon as the flower is full. I have two questions: 1. What do you mean when you say "haircut" for this plant? 2. More importantly, can I rebraid with a new plant?
You can carefully rebraid a new plant. Just choose three branches that will be suitable and use those. As far as the blooms falling off. This is common indoors, as the humidity if often lower inside. You can help some by spraying the plant with a fine mist of water in the morning, or during hotter afternoons. As far as pruning goes. You will want to remove any branches that intersect, or at least one of them, to keep the airflow through the plant. Basically, you will want to keep the small shrub from getting overcrowded.