Chapman was attached as "ski expert and naturalist" to
Gino Watkins' 1930–31
British Arctic Air Route Expedition. Expedition members included
John Rymill and
Augustine Courtauld. He also joined Watkins' subsequent fatal
Greenland Expedition of 1932–33, which was led by Rymill after Watkins' death. Chapman experienced cold of such intensity that he lost all his finger and toe nails. He spent twenty hours in a storm at sea in his kayak and at one point fell into a deep crevasse, saving himself by holding onto the handles of his dog sled. He later led a three-man team across the desolate
Greenland ice-cap. The first European to do this since Nansen, he became fluent in the
Inuit language and was an able kayaker and dog sledger. Chapman, with the other expedition members, was awarded the
Polar Medal, with the clasp
Arctic 1930–1931, after the successful first expedition. In between the Greenland Expeditions he attempted what was to become the
Bob Graham Round fell running challenge, and of climbing in the English
Lake District Fells, his time of 25 hours was not however a record. Gino Watkins moulded an extraordinary
esprit de corps in his expeditions, and the expedition members were a mixture of hard nuts, and rather fey Cambridge misfits. Many of the members would go on to do extraordinary things in the war. These members included
Martin Lindsay,
Augustine Courtauld and Chapman himself. Early in 1936, he joined a Himalayan climbing expedition. He was not only a keen
mountaineer but studied the history of mountaineering,
Dr Kellas being amongst his heroes. He enjoyed difficult climbs and met
Basil Gould, the Political Officer for
Sikkim,
Bhutan and
Tibet. Gould invited Spencer to be his private secretary on his political mission, from July 1936 to February 1937, to persuade the
Panchen Lama to return from
China and establish permanent British representation in
Lhasa. Spencer struggled to learn Tibetan, learning it well enough to converse. He was involved in cypher work, kept a meteorological log, pressed six hundred plants, dried seeds, and made notes on bird life. He kept a
diary of "events" in Lhasa and took many photographs that were sent to
India on a weekly basis. He was allowed to wander and did so in an unshepherded way into the middle of Tibet and around the Holy City. After his return from Lhasa, Chapman obtained permission to lead a five-man expedition from
Sikkim to the holy mountain
Chomolhari, which the British group had passed on the way from Sikkim to Tibet in July 1936. Chapman and Sherpa
Pasang Dawa Lama succeeded to become the first mountaineers to climb the 7314 m high peak, which they finally reached from the Bhutanese side after finding the route from the Tibetan side impassable. The mountain would not be climbed again until 1970. In 1938 Spencer taught at
Gordonstoun School where
Prince Philip was one of his pupils. ==Malaya==