Many a baby around the world is using a pacifier, binky or soother of some kind or the other. Unicode only has a milk bottle 🍼. It is a symbol for (temporary) peace among parents.

Disney Mobile emojis had a pacifier emoji that was mapped to the baby emoji 👶 or the diaper changing room symbol 🚼 in other sets.

Specific References

• Disney Mobile emojis

Standard References

• Unicode Technical Standard 51 “Unicode Emoji” (beta)
• How to propose emojis to Unicode
• How to propose other additions or changes to Unicode (required form, email address: docsubmit＠unicode.org)
• Unicode document submission form