I have the same. Here is the top of the relevant console output.
default 06:14:04.485952 +0200 kernel failed to parse entitlements for OneDrive[12709]: OSUnserializeXML: syntax error near line 1
default 06:14:04.763230 +0200 OneDrive Failed to connect (_preferenceMenuItem) outlet from (coreController) to (NSMenuItem): missing setter or instance variable
default 06:14:04.790912 +0200 OneDrive IsBusiness: 1, shouldShowWelcomePage: 1
default 06:14:04.793589 +0200 OneDrive Another instance of OneDrive is already running. Shutting down.
error 06:14:05.017923 +0200 sandboxd SandboxViolation: OneDrive(12709) deny mach-register com.microsoft.SkyDrive-Business1
Violation: deny mach-register com.microsoft.SkyDrive-Business1
Process: OneDrive [12709]
Path: /Applications/OneDrive.app/Contents/MacOS/OneDrive
Load Address: 0x10be3f000
Identifier: com.microsoft.OneDrive-mac
Version: 6389.415 (17.3.6389)
Code Type: x86_64 (Native)
Parent Process: launchd [1]
Responsible: /Applications/OneDrive.app/Contents/MacOS/OneDrive [12709]
User ID: 501
Date/Time: 2016-08-05 06:14:04.795 GMT+2
OS Version: Mac OS X 10.12 (16A270f)
Report Version: 8