Usually, the failsafe is embedded in the radio receiver. The stock radio also had a failsafe, I'm now using a different radio (FS-IT4) which also has a built-in failsafe. I'm not sure what you mean when you say you "installed" the failsafe. After installing the new servo, you need to test what the failsafe does. In my case, after replacing the servo, the failsafe would actually move the servo to full throttle which is... well, not ideal

If you find this to be the case, you need to reset the failsafe. Also, you should get a kill switch. Failsafes protect against lost of things, but not against Rx failure, throttle servo failure or battery failure.