Im dont grow that particular butterwort (mexican butterwort, tropical) but ive had that happen to both my P. agnata and my P. moranensis i just left it there to grow and when i repotted them i separated them, easily it was like they were 2 separate plants, it didnt even seem as if the mother plant was connected to the offset. i would wait untill it is at least the half the size or the size of the mother plant before separating, it doesn't mean you can clone it sorry, it means its been properly cared for and its propagating itself, cloning would be like taking leaf cuttings and creating a new plant, which i want to try this winter, leaf cuttings are best done when the plant has its dormant winter leaves, non carnivorous. I guess you could say your plant is cloning itself, idk, hope this helps

The only way you can propagate cultivars like the P. 'Weser' is by cloning only. Any seeds if may produce will only germinate plants that have lost the desired characteristics of the cultivar.

Pinguicula will often produce new crowns from the leaf axils as well as from the old dying leaves. These are vegetatively propagated plantlets. They are identical to the parent plant and, if it's a cultivar, can be given the same name as the parent plant. Most Pinguicula do not self seed so it's unlikely your plantlet is a seedling.