Here's my pattern for lacy fingerless mittens. You'll need 4mm/UK 8 needles and 50grams of wool(hint..if you have half a big ball of yarn you can simply weigh it to see if you have enough) These mitts will fit a small to average hand.
You could also make plain gloves by just knitting stocking stitch, perhaps some stripes to use up oddments of yarn. I love to have a pair or two if my Gift Box and find that most people appreciate being given a pair. In fact I have people in Canada, Queensland, Victoria and Western Australia wearing my woolly warmth!
Cast on 39sts
Work knit 2, purl 2 to last st and purl 1
Work knit 1, purl 2, knit 2 to end
Repeat until you have 14 rows.
Lacy pattern is a 4 row repeat and is worked 7 times in all(giving you 28 rows of pattern)
1) knit 2, *yarn fwd, sl 1, k1, psso, k1, k2tog, yarn fwd, k1,* repeat to the end, knit 1
2) Purl
3) knit 3 *yarn fwd. sl 1, knit 2 together, psso, yarn fwd, k3* repeat to end
4) purl
Now work 8 more rows of the rib st pattern and cast off loosely.
Sew up seam to fit your hand leaving a space for your thumb.
To make larger mitts for a man I cast on 46sts and knit them plain or in a stripy pattern.