Look's like till today, still very few wallets support the import/export labels functionality defined by the BIP 329. Here is the list, including a relatively new Cove mobile walllet #900355
| Wallet name | Export | Import | iOS | APK | Desktop | version | Link |
|---|---|---|---|---|---|---|---|
| Bitcoin Safe | ✔️ | ✔️ | ✖️ | ✖️ | ✔️ | 1.3.1 | bitcoin-safe.org |
| Bull Bitcoin | ✔️ | ✔️ | ✖️ | ✔️ | ✖️ | 0.4.4 | bullbitcoin.com |
| Cove | ✔️ | ✔️ | ✔️ | ✖️ | ✖️ | 0.4.1 | covebitcoinwallet.com |
| Nunchuk | ✔️ | ✔️ | ✔️ | ✔️ | ✔️ | 1.68.1 | nunchuk.io |
| Sparrow | ✔️ | ✔️ | ✖️ | ✖️ | ✔️ | 2.1.3 | sparrowwallet.com |