Windows Store app in Windows 10 seems to crash for all on 10532 and 10240 builds. Windows Store in Windows 10 insider build 10532 and 10240 build just opens and closes immediately when you click on its icon on the taskbar.
We can confirm this and few users also expressed this on Twitter and answer forums, seems this is a server-related issue and all users are affected, wait patiently for Microsoft to acknowledge and address this next week.
Windows Store opens and closes upon launch
Last month, Windows Store team has fixed Windows 10 Store app download errors 0x803F7000 and 0x803F7003 and other issues by releasing a new version. Let us see how they handle this, this time.
Update: Issue has been fixed, Store is now working.