The Collaborative International Dictionary of English v.0.48:

Speedily \Speed"i*ly\, adv.
   In a speedy manner.
   [1913 Webster]

WordNet (r) 3.0 (2006):

speedily
    adv 1: with rapid movements; "he works quickly" [syn: quickly,
           rapidly, speedily, chop-chop, apace] [ant:
           easy, slow, slowly, tardily]

Moby Thesaurus II by Grady Ward, 1.0:

77 Moby Thesaurus words for "speedily":
   PDQ, against the clock, amain, apace, at flank speed, at once,
   by forced marches, cursorily, decisively, directly, double-quick,
   expeditiously, fast, feverishly, flat-out, forthwith, full tilt,
   furiously, hand over fist, hand over hand, hastily,
   hell for leather, hell-bent, hell-bent for election,
   helter-skelter, hotfoot, hurriedly, hurry-scurry, immediately,
   in double time, in double-quick time, in high, in high gear,
   in no time, in passing, in seven-league boots, instanter,
   instantly, lickety-cut, lickety-split, on the double,
   on the instant, on the run, on the spot, pell-mell, post,
   posthaste, pretty damned quick, promptly, pronto, quick, quickly,
   rapidly, right away, right off, slapdash, smartly, snappily,
   straightaway, straightway, subito, summarily, superficially,
   swiftly, trippingly, under forced draft, whip and spur,
   with a rush, with all haste, with all speed, with dispatch,
   with giant strides, with haste, with rapid strides, with speed,
   without delay, without further delay