to please or charm (somebody)
the glory of the Jungfrau … the most engaging and beguiling and fascinating spectacle that exists on the earth — Mark Twain
(often + into) to deceive or hoodwink (somebody)
His peculiar specialty is the beguiling of lonely ladies by playing upon their religious feelings — Conan Doyle
to while (the time) away, esp by some agreeable occupation
beguilement noun
beguiler noun
beguilingly adv