South Western Railway operates a train from Twickenham to Putney every 15 minutes. Tickets cost $5 - $9 and the journey takes 15 min. Alternatively, London Buses operates a bus from Twickenham to Putney hourly. Tickets cost $3 and the journey takes 19 min.
From Twickenham train to Putney. 15 min £5. From Twickenham, York Street Twickenham bus to Putney, Ruvigny Gardens. 19 min £2. From Twickenham taxi to Putney. 11 min £26. From Twickenham drive to Putney. 11 min £1. From Twickenham Uber to Putney. 11 min £19.