Chakra is not a specific ability for the whole clan. Every member has this bloodline though some are harder to spot then others.
Members and their abilities:
Naruto- The ability of speed healing and mild regeneration though the Kyuubi amplifies that.
Karin- The ability to heal others who taste her chakra and can sense others chakras. She was found at age ten before Orichimaru.
Anise- (Karin's Mother) The ability to track any chakra she has felt.
Kuzou- (Karin's Uncle) Can sense what is wrong with another person health wise without jutsu.
Hiru- (Bird) Can instinctively sense weaknesses and openings in others. Used mainly in taijustu and deactivating other's jutsu.
Chirou- (Bird) Can sooth demons with her chakra.
Rin- (Bird) Easier to learn another affinity.
Momoko- (Bird) Chakra can create a shield like barrier.
Yori- (Bird) Can absorb and transfer any chakra
Junichi- (Bird) Can smell others chakra and the trail they leave behind.
Emiko- (Grass) Can restore others muscles, tissue, and organs to their top shape aking others live longer and look younger. This also heals injuries.
Daichi- (Grass) Chakra can destroy anything foreign that enters the body that causes harm. It can somehow sense if it will harm or not.
Akane- (Island) Can sense changes in the weather with the flunctuations of Nature Chakra.
Isao- (Island) Can heighten intensity Killer Intent and any jutsu that uses chakra.
Kaito- (Island) Can sense others emotions due to the way their chakra acts.
Uzumaki's that are Loyal to Another Villiage or are DeadEdit
Mito Uzumaki- Could strengthen others affinities to unatural levels. She did this with the Senju brothers and indirectly created the Mokuton.
Kushina Uzumaki- Could create chakra chains.
Tsunade Senju- Perfect chakra control with big chakra reserves.
Nagato- Affinity for all elements and ability to unlock Rinnegan.