At my school we get our lil's 3 things for their Initiation:
1) a stiched letter shirt - our chapter has a tradition of only initiated sisters wearing stiched letters because we want our girls to actually know what our letters mean before they can wear them.
2) a handkerchief for them to put into their bouquet of flowers at their wedding so if some of us cant make it there, she knows her sisters will be with her anyway

Some girls have their lil's handkerchief embroidered with the crest or our letters.
3)every big gets their lil their first crest of Chi Omega
*we also have this tradition of going to a certain area of the campus at midnight the day of initiation and singing songs and we always sing Shades to the seniors. We also have this pond next to the building we do this at and it has also become tradition that the GM gets thrown in the pond . . . wish me luck . . . I'm the GM this year!! AGHH!! haha
With Chi O love,
~*Tracy