Reddit reviews Feelle Solar Bird Bath Fountain

https://amazon.com/gp/product/B01N78E9ZT/ref=oh_aui_search_detailpage?ie=UTF8&psc=1

They work - pretty unlimited as to on/off periods.

Bear to program :) Instructions suck - once you figure it out - write our own cheat sheet.

Yup, 30 mins on/off works for me, for the first 24hrs I leave the pump on constantly though to help them deal with being cut off from the mother's life support.

This is the timer I use for cycles:
https://www.amazon.com/gp/product/B01G6O28NA/

edit: it's worth noting though they should root even with 24hr on, so it's likely a problem elsewhere.

double edit: I just found a cheaper one tht looks identical... https://www.amazon.com/Switch-Digital-Programmable-Countdown-Gardening/dp/B01N78E9ZT

https://www.amazon.com/gp/aw/d/B01N78E9ZT/