I find that my chances of Bursts increases with the skills of the melee'ers.
With good melee'ers, I've managed to double burst skill chains consistantly (i.e. ws -> ws -> MB -> ws ->MB), with less experienced melee'ers, I find it hard to do one burst.
I've turned off most of the messages that scroll in the message log, just so I can see when WS are going off easier.
Working out before you start killing, which chains are going to be attempted and what elements you need is a must.
Also, it helps if the Melee'ers have macros firing every so often with their TP status. Once I see that the TP of the Melee'ers is close to 100%, I stop casting whatever element will be necessary, and hold it in reserve, ready for the burst. Nothing is worse than just firing off Fire, then see a second later that a Liquidification skillchain just started. I also slow my casting down some, so I am ready to cast when needed. Sometimes I will even stop casting all together and use Elemental Seal and wait for the burst, but that is usually only when the blood lust doesn't have a hold of me and I am thinking more strategicly.
I also find that the Melee'ers that have their WS's Macro'd with party tells and <call#>'s in them work the best. Especially in parties with 4 melee'ers. Seeing and hearing which WS are being used is a big help - especially if I am pulling double duty as secondary healer.
Don't be afraid to ask your Melee'ers to modify their macros to add <call#>'s
The party tells and calls, plus the limited message viewing is a must for proper burst management (IMO).
Get a list of the Skillchian elements and appropriate spells to use, keep it by the computer to reference when necessary.
Lastly, practice, practice, practice. My linkshell went off to a lowbie area and I sat back and let the melee'ers build tp up on decent and easy cons then we would practice the skillchains and bursts. It helps a lot in learning the timing. Knowing wether or not there are built in waits in the Melee'ers macros is important too.