Reversible chemistry, allowing for chain-forming as well as chain-breaking steps, is important for biological self-organization. In this context, ribozymes, catalyzing both RNA cleavage and ligation, may have significantly contributed to extending the sequence space and length of RNA molecules in early life forms. Here we present an engineered RNA that self-processes by passing through a number of cleavage and ligation steps. Intermolecular reactions compete with intramolecular reactions, resulting in a variety of products. Our results demonstrate that RNA can undergo self-oligomerization, which may have been important for extending the RNA genome size in RNA world scenarios.