A water-based contact cement is the best choice if doing large covering jobs. Here is a tutorial of new covering.....with his reasons for NOT using a contact cement like the one above.
http://guitarkitbuilder.com/how-apply-tolex-guitar-amplifier-cabinet/
But....Elmer's white glue is great for doing minor repairs. IT is also good for full covering jobs. Fender used animal-based glues for their amps back in the day....and may still do so.
Thanks for the options, I assumed something other than water based due to humidity, beer, cleaning and conditioning.