jasper
Rotten DM
Proficiency with a lance allows you to add your proficiency bonus to the attack roll for any attack you make with it.I am playing a Goblin Wizard and I need to pick a "one-handed melee weapon" to be proficient in when she gains level 2. Technically a lance does not have the two-handed property even though you need to wield it in two hands when not mounted so I think I can take it?
I think having the reach and the 1d12 damage would be nice situationally, especially when combined with the goblin disengage. I know she can't use it in bladesong (unless mounted) and she can't use it well with the blade cantrips (because of disadvantage within 5 feet), but she will still have her staff for that.
You have disadvantage when you use a lance to attack a target within 5 feet of you. Also, a lance requires two hands to wield when you aren't mounted.
Properties Reach, Special
So it is not a one-handed melee weapon. It is a special. So I say NO.