I haven't run across this particular bug, played DD on XP Pro, Vista Ultimate and Win 7 Pro. It "sounds" like the game is not reading / writing to disk properly which might cause a delayed refresh for the stamina and other states.
If running on Vista or Win 7 did you :
Turn UAC of prior to install
Right click the setup.exe and click "Run as an Administrator" in the resulting dialog
Install in a directory outside of Program Files
Right click the game shortcut, click Properties, click the Compatibility tab and check mark "Run this program as an administrator"
If on XP make sure your firewall / AV program is not blocking the game. Comodo will throw up "Allow" dialogs behind the game screen. Unless you ALT - TAB out while the game is running you won't see them. You can also make the div.exe a trusted program to make sure it's not being blocked.
Anyway, my best guess is the game is not reading / writing to disk correctly which could cause the delayed update of some game stats. . . . =)
Edit: You might also check-mark "Disable visual themes" and "Disable desktop composition" on the game shortcut's compatibility tab as well since it may be a delay cause by these setting interfering with the refresh. See attached image (ignore the text on the image, it was for something else) . . =)