If you do a service for someone without disclosing or discussing the
price, and the customer doesn't pay, could you sue?
When someone performs services when the parties have a shared expectation that the person performing services will be paid by the person receiving services, but have not entered into a contract concerning the price to be paid, the person performing services has a claim in quantum meruit for the fair market value of their services that may be enforced in court.
This remedy can also apply when a contract between the parties fails or is void for some reason.
There are, however, some particular kinds of contracts in which recovery is only allowed is particular formalities or agreements are present.
If someone asks for a service, let’s say an animation or along the
lines of that, and then the person doing the service, whom has worked
with the customer for an extended period of time and never had been
asked about the price, does the work for the next 2 months, working on
a completely original animation, then once the customer gets told
about the initial asking price, then a lowered cheaper alternative,
the customer denies to pay and doesn't want the product anymore, are
there any grounds for a lawsuit?
Factually, this would be a close case. It isn't really clear that there was authorization to go ahead with the work with an expectation of payment.