SQLite Current Timestamp with Milliseconds?

Instead of CURRENT_TIMESTAMP, use (STRFTIME('%Y-%m-%d %H:%M:%f', 'NOW')) so that your column definition become:

TIMESTAMP DATETIME DEFAULT(STRFTIME('%Y-%m-%d %H:%M:%f', 'NOW'))

For example:

CREATE TABLE IF NOT EXISTS event
(when_ts DATETIME DEFAULT(STRFTIME('%Y-%m-%d %H:%M:%f', 'NOW')));