Scholar or protection
A modern phonetic variation of the Dutch surname Schuyler, which was brought to New York by 17th-century settlers. While the original meaning refers to a scholar, the name has evolved in English-speaking contexts to be associated with the sky.
Less common today
Skylarr isn't in the latest US Top 1000. It last peaked at #8,257 in 2016.
US births per 5-year period, 1990βpresent (SSA data).