Wow!  The oldest meaning of “taste” is “touch”!  I kid thee not, here’s the OED.

†1. The sense of touch, feeling (with the hands, etc.); the act of touching, touch.

• 05.015 at least a tasty morsel it’d make us, gollum!’
• 08.007 it proved horrible to taste,
• 09.023 and taste the new wine that has just come in.
• 09.024 I’ll taste with you,
• 09.045 Come give us a taste of your sleeping-draught before we fall to!
• 12.062 (and taste)
• 13.009 and the taste of vapour was on his tongue.
• 15.059 and being besieged inside it was not at all to his taste.
• 19.020 I suppose this is the first taste of it.’

“taste, n.1.” OED Online. Oxford University Press, June 2016. Web. 28 June 2016.