https://wccftech.com/checkra1n-0-10-2-beta-is-now-available-with-ios-13-5-jailbreak-support/

checkra1n tool has received an update that enables it to jailbreak iOS 13.5 and iPadOS 13.5. It supports devices from iPhone 5s to iPhone X, thanks to a bootrom exploit, however, the latest devices like iPhone SE and iPhone 11 are still unsupported as the exploit was fixed in them.

If you are on the fence as to which app to use to jailbreak iOS 13.5: checkra1n or unc0ver 5.0.0, we will make it simpler for you. checkra1n is reportedly more stable than unc0ver, due to its reliance on a bootroom exploit in iPhone X and older devices, which cannot be fixed by Apple. However, if you restart your iOS device, you have to connect it to your computer to re-jailbreak your iPhone or iPad. With unc0ver, you can just re-jailbreak from the app, however, it implements a few patches and injections that can potentially cause instability.