I've seen many hats described as "cloche" style - tuques, berets, buckets - but to me a cloche is just what the name would suggest: a bell-shaped hat. Rounded top, slightly flared lower edge. If this is what you mean too, then maybe these general directions will help...
I recently knitted one from Noro Silk Garden. Here it is on:
and off, which shows the shaping better:
The hat is knit in half-linen stitch, with about an inch of ribbing, which works as a hatband-like detail above the brim. I also picked up the back loops of the cast-on edge, which made a cord-like line just below the band of ribbing.
The brim on this version is pretty shallow and the flare is subtle. You could make it flare more by working more frequent increase rows or working more increases per row.
Here's a general description of how I made this hat. It isn't a pattern per se:
I started by knitting a shallow, close fitting cap from the bottom up. I worked for 4 inches before the first decrease row, then made the rounded top by decreasing at five points every other row until I had half the number of stitches I began with. Then I decreased every row until I had 5 stitches left, then closed up the top.
When I was done the cap, I picked up stitches at the cast-on edge and worked the brim downwards. I chose to work this way because I could slip the stitches onto some waste yarn and try the hat on as I shaped the brim.
I knitted a couple of rounds, doing 6 evenly-spaced make-ones in the second round.
Then I began working back and forth from the centre back, using short rows. The shortrow shaping creates a notch for the back of the neck, which prevents the edge from flipping up when you bend your head back. For the first short row, I knitted to within two stitches of the centre back stitch, wrapped and turned, knitted to within two stitches of the centre back on the other side, wrapped and turned. I repeated this short row pattern, knitting to within two stitches of each previous wrapped stitch, until the brim was the desired depth.
A few rows into the short row shaping, on a right-side row, I placed a four make-ones evenly across the row.
I finished with a suspended bind-off, which creates a flexible but un-curling edge. It looks a little like I-cord.