Shares of Twitter closing at a new all-time low today. The "Halftime Report" traders weighed in on the stock and the company's uncertain future.

Joe is not a buyer, arguing that the company has not proved it can monetize.

Josh--who is long the name--still believes in the company but thinks the small and particular user base is an issue.

Jon's primary concern is user growth at this point. He believes that CEO, Jack Dorsey, needs to focus on running Square.

Trader disclosure: On December 21, 2015 the following stocks and commodities mentioned or intended to be mentioned on CNBC's "Halftime Report" were owned by the "Halftime Report" traders:

Jon Najarian: Long KMI, PPG. He is long calls BAX, CA, FCX,IGT, KNDI, LC, MCK, MDLZ, MSFT, MU, NRF, NVDA, TA, XLNX. He is long puts AAPL

Josh Brown: Long AAPL, BABA, DE,DNKN, FB, JMBA, LOW, NFLX, SAM, SHAK, SPWR, TWTR, XLE, XON

Joe Terranova: Long VRTS

Jim Lebenthal: Long AAPL, BA, C, CSCO, DCO, EEQ, GAIA, GM, INTC, JCP, MPC, OA, ORBC, PFE, QCOM,QRVO, SPLS, TIF, TRN, WGO