Jerseys with a specific pocket for a pump

Pump+tube+tyre levers+elastic bands. All one easy to grab bundle, and it goes nowhere when in your pocket. Easy.

+1 for the rapha except the lightweight jersey which has a silly little zippered pocket instead

I completely agree with the comments regarding the Rapha jerseys - very effective.

I have a couple of Rapha jerseys and only recently started to use the pump loop in the middle pocket. Very effective, I don't notice it's there once I'm riding.

If you follow such things, then yes. Otherwise, you have to endure the rattle of your pump handle wherever you go.

Is it against 'The Rules' to use the bracket that Lezyne supply with their pumps?

First thing that goes in my middle pocket.
Never lost anything out a pocket with a decent tight fit jersey, I've seen people loose things when they have a baggier jersey on.

I put a couple of O rings around my pump so it grips against my jersey and other items in the pocket. I also have a lezyne.
The other option is, if you have enough seat post out, get some velcro cable ties and tie to the back of the seat post, again using two O rings so it doesn't clatter and grips the seat post.

I have a Cafe du Cycliste jersey which has a couple of elastic loops stitched into one of the pockets to keep your pump secure. Same as Nick T for me though, I've not had an untethered pump fall out of a pocket.

I stick mine down the back of my shorts.

Gets funny looks at Cafe stops, but never have to queue for the loo.

I stick mine down the front of my shorts.

I'm never comfortable with a pump in my pocket - the thought of it sticking in my ribs if I fall off!

+1 for Rapha, although I've not used it to carry a pump yet so I can't comment on how effective it is.

Rapha middle pockets have a sleeve for the pump inside them. I've never had a pump fall out of any other jersey, however.

Pack it in with spare tube etc and it'll stay put. Although I also thought that feature on the new Howies jersey was a great idea.