The existing restrictions in Chennai will continue tio be in force as the status of containment zones will continue unchanged. 
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Lockdown 4.0: 7 things Chennai residents should know as Tamil Nadu extends statewide restrictions till May 31

Many relaxations introduced as the part of lockdown 4.0 is not applicable to Chennai limits as the number of coronavirus cases remains unchecked in the district. Here are seven things Chennaiites must need to know.

From our online archive
The industrial units allowed to work across the state except in Chennai district limits.
All religious places will remain shut for public darshan / worship.
Metro services and all other forms of public transport won't be allowed to operate.
Educational institutions will remain shut.
Public gatherings including sports and recreation, seminars, political campaigns etc will remain prohibited.
Hospitality establishments and tourist destinations won't be allowed to entertain outsiders.

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