Finger

The Thirteenth Doctor's fingers shortly after regeneration. (COMIC: The Many Lives of Doctor Who)

A finger was a manipulatory appendage on a hand.

Decoration

Rings were worn on fingers. The First Doctor wore a signet ring on the middle finger of his right hand, (TV: An Unearthly Child) while the Third Doctor wore a ring on the little finger of the same hand. (TV: The Ambassadors of Death) The Saxon Master wore rings on the ring finger of both his hands, while the Twelfth Doctor only wore one on his left hand. Missy wore numerous rings on both her middle fingers. (TV: Deep Breath)

By number

The number of fingers on the hand varied among species. The Ralafeans had four thumbs and one finger on each hand and invented the mobile phone before the printing press. (PROSE: Wooden Heart) The Dahensa had two arms which ended in scorpion-like pincers while the other two ended in humanoid fingers. (AUDIO: The Wanderer) Tynakers had four fingerless hands. (PROSE: Losing Track of Time)

Among the many lifeforms with three fingers were the Sontarans, (TV: The Time Warrior) Raxacoricofallapatorians, (TV: Aliens of London) Tractites, (PROSE: Genocide) Anurans, (TV: The Infinite Quest) Kalarians, (PROSE: The Final Sanction) Meron, (TV: Liberation) and the Uxarieans. (TV: Colony in Space)

Infiltrating a Sontaran flagship, Donna Noble found a door controlled a switch shaped for the three-fingered Sontaran hand. Reminded by the Tenth Doctor that she had three fingers, Donna molded her five fingers into three to operate the switch. (TV: The Poison Sky)

The Abzorbaloff had hands with three clawed fingers, which exposed him as alien to Ursula Blake and Elton Pope when he attempted to hide behind a copy of The Daily Telegraph newspaper. Ursula was absorbed into the Abzorbaloff's body when his hand grabbed her arm. (TV: Love & Monsters)

Entities with four-fingered hands included the Ju'wes and the Re'nar, (COMIC: Ripper's Curse) and Silents. (TV: The Impossible Astronaut/Day of the Moon)

Besides humans, the Thals, (TV: The Daleks) Kaleds, (TV: Genesis of the Daleks) Arcateenians (TV: Greeks Bearing Gifts, Invasion of the Bane) and Equinoids. (COMIC: Perceptions) had five fingers.

The Catkind had five-fingered hands with retractable claws. (TV: New Earth)

Six-fingered species known to the Doctor were the Panjistri, (PROSE: Timewyrm: Apocalypse) Kusk, (PROSE: Longest Day) I, (PROSE: Seeing I) and Grold. (PROSE: The Eye of the Giant)

Individual cases

The Thirteenth Doctor holds up 5 fingers in reference to the number, '5'. (WC: Message from the Doctor)

In the 17th century, the First Doctor reset Joseph Longfoot's dislocated finger. (TV: The Smugglers)

In 1978, the Harlem Globetrotters taught the Doctor how to spin a basketball on his finger. (PROSE: Dark Horizons)

Whilst sat in his office, Victor Kennedy impatiently tapped his fingers on his Vaio laptop before finding the LINDA website. (WC: Tardisode 10)

Mr Ross advised that, should the Eleventh Doctor offer to take anybody's temperature with just his finger, they should decline as he was not a real doctor. (TV: The Doctor Drops In)

In an emergency transmission, the Thirteenth Doctor listed 5 things she did in any worrying situation, holding up her hand with a respective number of fingers extended for each item. (WC: Message from the Doctor)

A Dalek apparently once told a petrol pump to "take [their] finger out of [their] ear" when exterminating them. (PROSE: Knock! Knock! Who's There? ^[+]Loading...["Knock! Knock! Who's There? (novel)"])

Other references

Bernice Summerfield enjoyed fish finger sandwiches and mentioned them to Leonidas, who decided to try to make one for her. He was reminded by Craisus that fish did not have fingers. (AUDIO: Private Enemy No. 1 ^[+]Loading...["Private Enemy No. 1 (audio story)"])