Different stainless steels work harden differently. If you “work” the tap you may harden the material, then break the tap when it hits the previously hardened wall. If you continuously turn the tap the chips will be hardened but the material being cut will be fresh and normal hardness. The speed of cutting is important because the hardening process is a chemical phase change. In some materials, if you back off torque momentarily you may hit a hardening wall.
Avoid machining old, salvaged or unidentified stainless steel. You will probably need carbide tooling.
There are different flute profile taps, spiral flute taps are designed to cut continuously while straight flute are designed to be reversed to break the chips. Don' be mislead by “spiral point”, in hard materials they are often as bad or worse than straight flute because they clog with chips, especially in blind holes. The spiral path of the flute decides the curl of the chip and the quality of the thread finish.
There are many different stainless steels. What grade material are you threading ?
How long or deep is the thread you are cutting? Blind or through hole?
Is your material new or aged? Has the material been subjected to cold temperatures? for what periods?