Rohit Sharma remained unbeaten but he continued to lose his batting partners, Cheteshwar Pujara, Virat Kohli and Ajinkya Rahane as India reached 80/4 at the end of the first session.
Anderson bowled the first two deliveries going away from Gill before trapping the youngster with an incoming one.
India registered only their second Test victory inside two days, overhauling a meagre target of 49 against England in the day-night third game to take an unassailable 2-1 lead in the four-match series here on Thursday.
Being playing with Shubman for Punjab Ranji side, the Indian pacer feels the best of the young batsman is yet to come.
Gill has been taken for scans and won't be fielding on the fourth day. He is currently monitored by the BCCI medical team.
Indian opener Shubman Gill was dismissed for a duck in the first innings of the second Test against England in Chennai.
Gill scored 259 runs in three Tests against Australia with two half-centuries while missing a maiden ton by nine runs. Rohit scored 129 runs in two Tests with one half-century.
Gill scored 259 runs in three Tests with two half-centuries while missing a maiden ton by nine runs. Rohit scored 129 runs in two Tests with one half-century.
In the three Tests he played in Australia, the 21-year-old Punjab batsman scored runs at an average of 51.8 while missing on his maiden century by 9 runs.
Gill, 21, made his Test debut during the tour in which India recorded a second consecutive 2-1 series win in Australia.
Gill scored 259 runs in the six Test innings he played in Australia. It included a remarkable 91-run knock in the second innings of the Gabba Test when India chased 328 on the final day of the Test match.
Gill recalled how Australian players tried to intimidate him during the Sydney Test by sledging but he trusted his instincts and got over it.
Gill, with his defiant 91, had set a platform for India's surprise win over Australia in the fourth and final Test in Brisbane that gave the Ajinkya Rahane-led team a 2-1 win in the four-match series.
Shubman Gill scored 259 runs in three Tests against Australia at an impressive average of 51.80.
At 21 years, 129 days, Shubman becomes the second-youngest visiting player to score a half century in the fourth innings in Australia.
The pair became the first from the subcontinent to add 50+ runs for the first wicket across the two innings in this century.
Former India batsman VVS Laxman also heaped praise on Gill and said that the young lad has a 'very bright' future across all three formats of the game.
Gill became the youngest Indian to post a 50+ score in a Test in Australia.
Gill, who opened the innings alongside Rohit Sharma, scored 50 in 101 deliveries, which included eight boundaries during India's first innings at the Sydney Cricket Ground.
Shubman Gill scored his maiden half-century in Test cricket, and also became the youngest Indian to post a 50+ score in Australia.
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