We use Brownina dynamic (BD) simulations to probe the physics of nonequilibritum compress extreme nanoconfinement. In spur system, modeled on the "nanodozer assay" a gasket translating at a fined sliding speed impinges on a nanochannel extended chain. In square channels with diameter much smaller than the chain persistence length, we find that chain compression proceeds through a unique folding kinetics driven by repeated double-fold nucleation events and growth of nested folds, We show that the folding kinetics can be understood by coupling a theory for deterministic contour spooling across the folds with a dynamically varying energy landscape for fold nucleation. These findings are critical for understanding compression of nanochannel confined DNA in the sub-persistence length (Odijk) regime.