The Sri Vidya philosopherAcharya Bhaskararaya gives two interpretations of the name in this excerpt from his Lalita Sahasranama Bhashya:
"Nails", joints of the nails or fingertips. Ten forms of Narayana are the ten incarnations of Vishnu, viz., Fish, Tortoise, Boar, Man-Lion, Dwarf, Parashurama, Rama, Balarama, Krishna, Kalki.... Or, "Ten forms": the word in the text is Dashakritih, which may also be taken to mean the five states of Jiva and the five functions of Ishvara.
In the worldview of the Shaiva and Shakta Agamas, the Jiva is said to have five states, namely waking, dreaming, deep sleep, Turiya, and Turiyatita. And Ishwara is said to perform five functions, namely creation, preservation, destruction, obscuration, and liberation. So Bhaskararaya is suggesting that these may be the ten forms being referred to.