Check your fuses.
chrysler strikes again try replacing your chassis grounds had problem before I have 95 they have a technical service bulletin about this they have a bad cluster ground setup.
dash cover is easy to remove on earlier models try lifting up on it then you will see 4 screws holding the cluster in try wiggling the connectors on the back and possibly watch as the gauges spring back to life
Looking for a Used Neon in your area?
CarGurus has 906 nationwide Neon listings and the tools to find you a great deal.
Search Dodge Neon Questions
Are you a UK consumer? CarGurus now has a discussion forum in the UK.
Dodge Neon Experts