This is Umamaheshwara, one of the forms of Siva and Parvati. Goddess Parvati is seated on the left thigh of Siva. The lower left hand of Siva is stretched over and holding Parvati’s waist. Parvati’s right hand is wrapped around Siva’s waist. Siva’s rear hands are holding a battle axe and an antelope. The lower front hand is in Abhaya (protection) mudra. Parvati holds a lotus in her left hand.

Siva is seated in lalitasana, with his right leg pendant. Parvati’s legs are pendant and are resting on a lotus pedestal.

This icon may be from Tamil Nadu. But the physical features of Siva, esp torso region, suggest it could be from Karnataka. Well, not too long ago, some parts of Karnataka were part of Tamil Nadu (Madras Presidency).

It is about 7.5 cm in height and is meant for worship at home.

One surprising thing I noticed is the rarity of Uma Maheshwara, as in showing possessive affection, from Tamil Nadu.

T E Donaldson (Siva Parvati and Allied Images) documents multiple bronze and stone sculptures of Uma Maheshwara from other parts of the country, Kerala, Andhra, Karnataka, Orissa, Uttar Pradesh, Bihar, Rajasthan, Bengal…But has only one example of Uma Maheshwara from Tamil Nadu.

I also checked my standard reference T. A. G. Rao’s Elements of Hindu Iconography, and there are no examples of Uma Maheshwara from Tamil Nadu.

Edit on 17 Oct 2017: Found one more example of Umamaheshwara. This is in Katchi Mandapam, Tiruvannamalai temple, Tamil Nadu.  Katchi Mandapam, a 16-pillared hall, is past Kili Gopuram.  This Mandapam was built during the 13th century.  The photo, by me, is below.