You don't provide a lot of context. But if the data are from a human cancer cell line, generated under tightly controlled conditions in a laboratory environment, you could expect dispersions below 0.01 (i.e., BCVs < 0.1) to be "reasonable". On the other hand, if the data are from actual patients, you can expect BCVs at or above 0.5 - see the Nigerian case study (Section 4.3) in the edgeR user's guide.
Obviously, these are just very general observations. No pre-defined "reasonable" dispersion value is a good substitute for actually having replicates in your experiment.
Thank you so much for your great help!