Can we use 'neither' with 'or'?

[Bright Sunny]

Grammar books say that we must use 'neither' with 'nor'. It also says 'or' can be used with 'either. However, I see sometimes 'neither' is used with 'or'. Is it correct?
For example, let's say 'I like neither books nor movies if they are about wolves.' Can we say that 'I like neither books or movies if they are about wolves.'?

[englishlisteningworld]

The short answer is 'no'. If you see 'or' used with neither it is a mistake. Having said that, some people are loose with this rule, especially when speaking. I advise you to use 'nor' when you are writing in particular.
-Les

[Odessa Dawn]

The short answer is 'no'. If you see 'or' used with neither it is a mistake. Having said that, some people are loose with this rule, especially when speaking. I advise you to use 'nor' when you are writing in particular.
-Les

Thank you so very much. Can't we substitute or for nor with neither? Can we say that the writer right here committed mistake?

"Neither party worries about deficits or debt. Saying so is duplicitous deception."
More: PressTV - Stealth Republican Obama plans wars in term 2

[5jj]

"Neither party worries about deficits or debt. Saying so is duplicitous deception."
More: PressTV - Stealth Republican Obama plans wars in term 2

No and no.

However, it's They worry about neither deficits nor debts.