The easiest way would be to use some client side JavaScript to alert or stop the user from entering more than 1000 chars.
There is a function in /scripts/validation.js called "validateStringLength" you could use this to check the string length as the user types i.e. attach an onkeyup handler.
Another option is to add a constraint to the property definition in the model, the client side validation should then be done for you, but this isn't the safest upgrade route if it's an Alfresco property!