Hi Aman,

This "Live Record" feature is supported on Unity Connection. Here are the notes for UC;

Live Record Messages

Live record allows users to record conversations while they talk to callers. The recorded conversation is stored as a message in the user mailbox, and the user can review it later or redirect it to another user or group of users. Operators in your organization may find live record particularly useful.

Live record is supported only when Cisco Unity Connection is integrated with a Cisco Unified Communications Manager (CM) (formerly known as Cisco Unified CallManager) phone system. To set it up, you set a forward routing rule in Connection Administration, modify the phone system as needed, and then tell the user how to conference the phone system DN to activate the feature during a call. (The live record beep can be adjusted on the System Settings > Advanced > Telephony page in Connection Administration.)

While there is no class of service or user account setting required to enable the feature, note that the maximum duration of a live record message is controlled by the maximum message length for the class of service of the user. In addition, live record does not work for users who have full mailboxes. When a user who has a full mailbox tries to record a call, the feature will seem to work normally, but the recorded conversation will not be stored as a message in the user mailbox.

http://www.cisco.com/en/US/docs/voice_ip_comm/connection/2x/administration/guide/2xcucsag170.html

Setting up live record is the same for Unity Connection as indicated in this link.

http://www.ciscounitytools.com/HelpFiles/LiveRecord405/LiveRecordAppNote.htm

Hope this helps!

Rob