If it's important that you're able to PUT some data, then immediately retrieve the same data via GET, then you could simply treat it as a different resource entirely, e.g.:
# Change an account name
PUT \Accounts\{id}
# Get accounts/names/balances
GET \AccountDetails
# Get balance of an account
GET \AccountDetails\{id}\CurrentBalance
However, there's really no good reason to go through the trouble of doing that. Your PUT is idempotent as long as making the same request multiple times doesn't change the state of the system. Not changing the system's state if some spurious value is submitted is the correct behavior. In fact, if someone does try a PUT including CurrentBalance, you might want to return a 400 (Bad Request) status explaining that CurrentBalance can't be updated.