Because of the complexity and size of my wiki, I am unable to let ikiwiki run it's course on my shared hosting provider of choice. The maximum time allowed for a rebuild as is dictated by the maximum amount of cpu time I can assign myself to is 10 minutes. What I wanted to know is: Is there a way to run ikiwiki in chunks of 10 minutes steps or something like that?
No, this is not supported. I don't think ikiwiki is suitable for use with your wiki on that hosting provider.
If you don't need the CGI, you could "compile" the wiki offline (on your laptop) and upload the resulting
$destdirto the hosting provider - effectively treating the hosting provider as simple static storage.