Problems with quick re-evaluation

Enter something (e.g. 13) in a cell, evaluate, get the output, and while "the output is green" evaluate it again - get the rotating wheel and no output.

This goes away after one more evaluation, so does not seem like too big of a deal, but may be annoying for complicated computations/output or slow connections. (Maybe there are also issues with abandoned processes/connections, I didn't investigate it).