Dissolution cases, like almost all civil cases, are subject to appeals. However, not every case is appealable under all circumstances—the case must have appealable issues that have been preserved in the hearing, trial, or other appealable record.
See: Appealing a Divorce Decree.
Not all case files can be reopened once the final ruling is entered. While divorce appeals are common, succeeding in reopening a case is rare. This is largely because case files can only be reopened to correct injustice from occurring. Though many people feel like they've been treated injustly, the standard is not disapproval of an adverse decision. The factors permitting a case to be reopened are more objective than subjective.
Almost every possible matter that can come before the court in family law can be appealed, including child support, child custody, spousal maintenance, and temporary orders. Appeals cannot be made simply because the party doesn't like the result, but rather the appeal can only include issues where the judge or referee made an error of facts or law, or in cases where there is a right to appellate review, but this last generally does not exist in family law matters.