I have a userform which runs a script every 100ms. The script handles images on the userform and is used to animate them, while the form continues to receive user input (mouse clicks and key presses). This continues until the userform is closed. While Application.OnTime seems to work best, it only operates consistently on time values of 1 second or more.
When I use something like
Sub StartTimer()
    Application.OnTime now + (TimeValue("00:00:01") / 10), "Timer"
End Sub
Private Sub Timer()
    TheUserForm.ScreenUpdate
    Application.OnTime now + (TimeValue("00:00:01") / 10), "Timer"
End Sub
and call StartTimer in the userform, Excel becomes very unresponsive and "Timer" is called many more times per second than it should.
Using the Sleep function causes the program to become unresponsive too, although the script is run with the right interval.
Is there a workaround for this? Thanks in advance!
OnTime can only be scheduled to run in increments of 1 second.  When you attempt to schedule it at 1/10th second, you actually schedule at 0 seconds, ie it runs again immediately, consuming all resources.
Short answer, you cannot use OnTime to run an event every 1/10 second.
There are other ways, see CPearson for using a call to Windows APIPublic Declare Function SetTimer Lib "user32" ...
Try this simple hybrid method for your 'Timer' sub:
Sub Timer
  Application.OnTime now + TimeValue("00:00:01"), "Timer"
  t1 = Timer
  Do Until Timer >= t1 + 0.9
    t2 = Timer
    Do Until Timer >= t2 + 0.1
      DoEvents
    Loop
    TheUserForm.ScreenUpdate
    ... your code
  Loop
End Sub 
Of course, one problem of user the 'Timer' function is that at midnight your code may turn into a pumpkin (or crash). ;) You would need to make this smarter but if you generally only work during the day, like me, it's not a problem.
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