Well it has a atmosphere of sodium ions only on the daylight side and it's much lower in pressure than say on Mars. Plus Mercury rotates very slowly.
You yourself have a magnetic field as was shown by the magnetic levitiation of the frog experiment. Do you have an iron core?
Well I have Iron in my blood, But my magnetic field comes from the (salt?) water in my body.
What is the constituency of Titan's atmosphere? Is it dipoles?
Mostly Nitrogen just like ours, The only significant Dipole we have that Titan doesn't is water vapor, Though I can't see how the Water vapor which varies in concentration from place to place and over time in our atmosphere can be creating a relatively uniform magnetic field over the whole planet.
Also while Jupiter and the other gas giants may not have Iron cores they do have cores of metallic hydrogen which maybe responsible for their huge magnetic fields
It's not, though. It moves around, it fluctuates in strength, it has totally reversed polarity in the past. That's why I am considering a source for the field that also moves around and varies in constitution from age to age.