douglasmhurst,
Sorry that you are seeing this issue with MyEclipse.
Can you answer some more questions for us to replicate it at our end?
1) Can you clarify if you are behind any proxy/firewall? In that case can you configure your proxy settings from Window > Preferences > General > Network Connections
2) Is it updating indexes for Maven ? If yes the disable the “Download repository index updates on startup” option in preferences (Window–>Preferences–>MyEclipse–>Maven4MyEclipse–>Maven) so that it does not attempt to download an update each time – once for a given workspace will make sure you have an updated index unless you are looking for brand new additions to the repository.
3) Can you check the .log file which is located at <workspace dir>/.metadata/.log for any errors of interest ? If yes then paste them here.
Let me know how it works for you.