Both of these classes are primary spellcasters, so multiclassing between them yields uninterrupted spell slot advancement. The bad news is that both classes use different ability scores for their spells, with druids using Wisdom and wizards using Intelligence. That probably means that you’ll either have to pick one ability to focus on or you’ll have lower spell save DCs and attack bonuses overall. If you use one of the classes for utility spells that don’t scale with ability modifiers and/or beneficial spells that you’ll be casting on yourself and your allies and the other for your save spells, that can help a bit.
Flavor-wise, this is neither a slam-dunk nor a head scratcher. It’s not a huge stretch to imagine a spellcaster that draws on more than one tradition or transitions from one to another at some point in their life, but the druid class has spiritual (or even religious) aspects to where the wizard is secular in its flavor. Druidic magic is often coded as something you access, whereas wizardly magic is something you do, and so on. Spend some time figuring out how the character got here.
More levels of druid will give you a standard nature guardian with powerful shapeshifting abilities and a few surprise spells they’re not expected to have. More levels of wizard gives you an academic spellcaster with a connection to the wild and a little bit of shapeshifting that’s probably most useful in non-combat situations. An even mix of the two represents someone who is trying to create a true synthesis between the learned and the accessed, merging academics and spirituality in their magical practice.
[[Synergy Feats for Multiclassers#Druid w/ Wizard|Druid-Wizard chains and ideas]]