The secret to getting away with punchy colors for spring is to keep the design simple. A solid-colored silk tie or something with a small pattern will balance out however festive you feel like getting with color. If you're into playing a bit with texture, consider the range of linen ties currently available. The idea is to let your neckwear take center stage without being over-dramatic.
Spring's warmer weather also makes going tie-less an acceptable option. But if you're going to go sans tie, you must make sure the rest of your look is put-together. There is a fine line between rocking a smart dishabille look and looking like you just don't know how to tie a tie.