I have found that using a spring in itself is permitted on Shabbat (e.g. https://www.sefaria.org/Peninei_Halakhah%2C_Shabbat.15.8.7?vhe=Peninei_Halakhah,_Yeshivat_Har_Bracha&lang=bi&with=all&lang2=en)
What then is the status of using a pogo-stick on Shabbat?