I need some help.

When Splitting a long clip in the arrange view, Live seems to ignore "overlapping notes". What I mean is any drone or chord that has been triggered before the split point does not appear in the newly generated clip. (AFAIK with all commands available).
In Logic, the program would ask you what to do with these notes (Split, Shorten, Ignore). (The behavior of Live is equivalent to "Ignore").
In Live there seems to be no way to split a note. (Not even in the (clip) midi editor...)...)
Is there really not other than to re-insert manually the missing note(s)?
How usefull this function is will obviously depend of one individual workflow, but in mine it is used VERY often... I hope that I missed something or that someone can come with a workaround.
Best regards,
Marc for Azure Feast.
http://www.AzureFeast.com