I'm typically of the opinion that abusers don't change, and anyone entangled with an abuser would be better off freeing themselves than giving that person a chance. I will admit though that there are always exceptions to any rule, and I do believe it's possible for an abuser to change, it's just improbable.
The underlying cause for abusive behaviour is deeply internalised views and values. So in order for an abuser to change, they have to work on addressing those views and values. It won't work just to focus on the behaviour that manifests from those views and values.
Both people need to understand and accept that there is no excuse for abuse. An abuser isn't owed a chance because they've suffered abuse themselves. It's important to understand that experiencing abuse or mental health issues doesn't cause abuse, though it is sometimes used as an excuse. If it caused abuse, then anyone who's ever been abused or had mental health issues would be an abuser themselves, which is not the case.
This last line of your OP raises a concern for me...
and there’s no other abuse involved ?
Both people would need to understand that the only acceptable level of abuse in a relationship is zero. This line seems to be minimising the abusive behaviour that is present in the relationship. Someone who "only" calls their partner names isn't owed a second chance because they've never hit their partner. If either person involved thinks there's any type of justification to be made because there's "only" this type of abuse and not that type of abuse then it just won't work. The abuser will continue to abuse and the victim will continue to accept it.
The bottom line is that from the victim's perspective, it's better to walk away. It's possible to overcome being an abuser, but it's incredibly difficult and incredibly rare. No one who is abusive "deserves" a chance, no matter the circumstances. But the victim absolutely deserves a relationship where they feel safe, loved, and respected.