@mapes21 These right entitlements are credited to your demat account and you can sell them like regular shares through your trading account.
As a shareholder you have the 'Right' to subscribe for additional shares at a price which is lower than what it would have been offered to general public.
-Subscribing to these shares means you are increasing your holding in the company at a price which is comparatively lower than the market price.
OR
-By selling the 'Right' you can pocket the money, which would just mean that you are reducing the cost of acquisition for the shares that you are currently holding.
Doing neither of these things will amount to renouncement and you wouldn't get any benefit.