No, it is not a sin.
And the goal shouldn’t be “a miniscule amount” unless you were very sure there wasn’t enough left for everyone, such as the case when there is little left in the cup and there is still a long line behind you.
Outside of that situation, your goal should be “a sip”. Less than a mouthful, more than a drop. While Christ is present in that miniscule amount, the form of receiving the sacrament should be that of drinking a liquid, not just tasting something. After all the command is “Take this and drink…”
It’s up to the pastoral ministers of the parish to make sure they don’t keep running out of the Precious Blood if everyone who normally receives from the cup takes a normal sip. Just like it’s their responsibility to make sure the Consecrated Bread doesn’t run out. Otherwise, what you’re doing would be like receiving a Host, breaking off a teeny bit, and putting the rest back because you’re worried about running out. Trust your parish ministers to worry about that and take a full Host and an actual drink to experience the fullness of the sacramental sign.
Edit: And Merry Christmas to you, too!